On the differentiation of random measures with respect to homothecy invariant convex bases

DOI10.4064/CM9028-2-2023zbMath1526.28001OpenAlexW4364860564MaRDI QIDQ6086108

Giorgi G. Oniani, Kakha A. Chubinidze

Publication date: 9 November 2023

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm9028-2-2023

zbMATH Keywords

differentiationrandom measureshomothecy invariant basis

Mathematics Subject Classification ID

Maximal functions, Littlewood-Paley theory (42B25) Abstract differentiation theory, differentiation of set functions (28A15)

Cites Work

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• Note on the differentiability of singular Lebesgue-Stieltjes measures
• On limits of sequences of operators
• A necessary and sufficient condition for differentiability of integrals of random measures in \(R^ n\) over \(n\)-dimensional intervals
• Tauberian conditions for geometric maximal operators
• On the differentiation of integrals with respect to translation invariant convex density bases
• Rotation of coordinate system and differentiation of integrals with respect to translation-invariant bases

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